It is believed the Premiership outfit will net around £5million from the new four-year contract, which will also see the launch of a traditional red and black striped away kit.
The Reebok logo will replace that of previous kit sponsor Le Coq Sportif on the City shirts.
The choice of shirts was determined after consultation with City's fans committee and are sure to be welcomed by the vast majority of home supporters, who will no doubt be hoping the nostalgic return can help revive the 1960s glory days.
Commented acting chairman John Wardle: "With the impending move to the City of Manchester Stadium growing ever closer, this is a truly exciting and unique period in the club's history.
"We are delighted to welcome Reebok as our kit sponsor at this historic time. Reebok are one of the true giants of the sportswear industry and we look forward to a very happy and mutually beneficial association over the coming years."
Englsih Premier League side Manchester City are the latest soccer club to sign up with Reebok after agreeing a new kit sponsorship deal.
